Laplacian eigenvalue distribution and graph parameters
Sign Up to like & getrecommendations! Published in 2022 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.09.012
Abstract: Abstract Let G be a graph and I be an interval. In this paper, we present bounds for the number m G I of Laplacian eigenvalues in I in terms of structural parameters of G.… read more here.
Keywords: graph parameters; laplacian eigenvalue; eigenvalue distribution; distribution graph ... See more keywords
The graph Kre(4) does not exist
Sign Up to like & getrecommendations! Published in 2017 at "Doklady Mathematics"
DOI: 10.1134/s1064562417040123
Abstract: Suppose that a strongly regular graph Γ with parameters (v, k, λ, μ) has eigenvalues k, r, and s. If the graphs Γ and $$\bar \Gamma $$Γ¯ are connected, then the following inequalities, known as… read more here.
Keywords: krein; graph kre; kre exist; graph parameters ... See more keywords
On the Consensus Performance of Multi-Layered MASs with Various Graph Parameters—From the Perspective of Cardinalities of Vertex Sets
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e25010040
Abstract: This work studies the first-order coherence of noisy multi-agent networks with multi-layered structures. The coherence, which is a sort of performance index of networks, can be seen as a sort of measurement for a system’s… read more here.
Keywords: graph parameters; multi; cardinalities vertex; performance ... See more keywords